{"id":"W4317399029","doi":"10.18280/mmep.090610","title":"Efficient Solutions for Nonlinear Diffusion Equations Appeared as Models of Physical Problems","year":2022,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Jordan University of Science and Technology","keywords":"Laplace transform; Laplace transform applied to differential equations; Nonlinear system; Transformation (genetics); Range (aeronautics); Applied mathematics; Differential equation; Exact solutions in general relativity; Diffusion; Mathematics; Computer science; Mathematical analysis; Physics; Chemistry; Thermodynamics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004662815,0.0002009644,0.0003445788,0.0001847543,0.0005286635,0.00002883934,0.0001437341,0.00005583356,0.00002526972],"category_scores_gemma":[0.0002452541,0.0001991047,0.000168074,0.0002563187,0.00005145138,0.00005708542,0.0001714806,0.0002501688,0.00000419958],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001118691,"about_ca_system_score_gemma":0.0000410143,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002232229,"about_ca_topic_score_gemma":6.689208e-7,"domain_scores_codex":[0.9983809,0.0000336951,0.0004964381,0.0002804457,0.0004293067,0.000379211],"domain_scores_gemma":[0.9983491,0.001055015,0.0001283949,0.0002411012,0.0001233909,0.000102947],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000004083501,0.0004473772,5.10508e-8,0.0002899306,0.00002426495,6.883817e-8,0.0008260823,0.5499736,0.00119256,0.4471998,0.000007101013,0.00003511893],"study_design_scores_gemma":[0.0002398392,0.00008769846,1.484225e-7,0.00008916009,0.00006318237,0.000004262857,0.00007406934,0.6316782,0.00003134227,0.3675419,0.00006075596,0.0001295015],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07067437,0.00007362702,0.927701,0.0001817252,0.00006213635,0.0008518698,0.0001295353,0.0001606029,0.0001651443],"genre_scores_gemma":[0.9128873,0.000003962744,0.08603405,0.000004269487,0.00004560134,0.0008064053,0.00005247196,0.00005182661,0.0001141641],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8422129,"threshold_uncertainty_score":0.8119253,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.078768583159013,"score_gpt":0.2726853224803183,"score_spread":0.1939167393213053,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}